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directed set

   Also found in: Wikipedia 0.01 sec.
directed set [də′rek·təd ′set]
(mathematics)
A partially ordered set with the property that for every pair of elementsa,bin the set, there is a third element which is larger than bothaandb. Also known as directed system; Moore-Smith set.

(theory)directed set - A set X is directed under some relation, <= (less than or equal), if it is non-empty and if for any two elements x and y there exists an element z such that x <= z and y <= z. I.e. all pairs have an upper bound.


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finding some directed set of questions and insights that converges on the discovery of the key mathematical relationship is essential.
 
 
 
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